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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2006, Volume 46, Number 3, Pages 490–500 (Mi zvmmf505)  
This article is cited in 8 scientific papers (total in 8 papers)

Numerical method for solving an inverse problem for a population model

A. M. Denisov, A. S. Makeev

Moscow State University, Leninskie gory, Moscow, 119992, Russia
Full-text PDF (993 kB) Citations (8)
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Abstract: The inverse problem of determining the growth rate coefficient of biological objects from additional information on their time-dependent density is considered. Two nonlinear integral equations are derived for the unknown coefficient, which is determined on part of its domain from one equation and on the remaining part from the other equation. The nonlinear integral equations are solved by iterative methods. The convergence conditions for the iterative methods are formulated, and results of numerical experiments are presented.
Key words: inverse problem for population model, integral equations, iterative methods.
Received: 24.10.2005
English version:
Computational Mathematics and Mathematical Physics, 2006, Volume 46, Issue 3, Pages 470–480
DOI: https://doi.org/10.1134/S0965542506030134
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: A. M. Denisov, A. S. Makeev, “Numerical method for solving an inverse problem for a population model”, Zh. Vychisl. Mat. Mat. Fiz., 46:3 (2006), 490–500; Comput. Math. Math. Phys., 46:3 (2006), 470–480
Citation in format AMSBIB
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\paper Numerical method for solving an inverse problem for a~population model
\jour Zh. Vychisl. Mat. Mat. Fiz.
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\pages 490--500
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\transl
\jour Comput. Math. Math. Phys.
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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